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Symmetry breaking and localization in quantum chaotic systems

1992; American Physical Society; Volume: 69; Issue: 2 Linguagem: Inglês

10.1103/physrevlett.69.217

1092-0145

R. Blümel, Uzy Smilansky,

Nonlinear Dynamics and Pattern Formation

Using semiclassical arguments substantiated by numerical results for the quantum kicked rotor, we establish that breaking an antiunitary symmetry in a system with dynamical localization increases the localization length by a factor of 2. The transition between the symmetric and the symmetry broken case is smooth. The semiclassical theory provides an approximate expression for the transition function as well as the critical strength of the symmetry-breaking interaction necessary to achieve the full factor of 2 increase of the localization length.